Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method

Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method

In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positi...

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Main Authors: Tian Wang, Zhaocai Hao
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/2354927
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spelling doaj-8bbf33e4cf964e128bdd1a3cb8dcfc1f2020-11-25T03:01:35ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/23549272354927Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator MethodTian Wang0Zhaocai Hao1School of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, ChinaIn this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. Moreover, we give an example to demonstrate our main result.http://dx.doi.org/10.1155/2020/2354927
collection DOAJ
language English
format Article
sources DOAJ
author Tian Wang
Zhaocai Hao
spellingShingle Tian Wang
Zhaocai Hao
Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
Journal of Function Spaces
author_facet Tian Wang
Zhaocai Hao
author_sort Tian Wang
title Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
title_short Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
title_full Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
title_fullStr Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
title_full_unstemmed Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method
title_sort existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. By applying the fixed point theorem in cone, we get the existence and uniqueness of positive solutions for the fractional differential equation. Moreover, we give an example to demonstrate our main result.
url http://dx.doi.org/10.1155/2020/2354927
work_keys_str_mv AT tianwang existenceanduniquenessofpositivesolutionsforsingularnonlinearfractionaldifferentialequationviamixedmonotoneoperatormethod
AT zhaocaihao existenceanduniquenessofpositivesolutionsforsingularnonlinearfractionaldifferentialequationviamixedmonotoneoperatormethod
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